Existence of solution for some quasilinear parabolic systems with weight and weak monotonicity
Author
Elhoussine, Azroul
Abdelkrim, Barbara
El Houcine, Rami
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/420110.22199/issn.0717-6279-2020-03-0033
Abstract
We prove the existence of weak solution u for the nonlinear parabolic systems:
which is a Dirichlet Problem. In this system, v belongs to , f and g satisfy some standards continuity and growth conditions. We prove existence of a weak solution of different variants of this system under classical regularity for some growth and coercivity for ? but with only very mild monotonicity assumptions.